US10823646B1 - Method for evaluating the longitudinal deformation of proppant pack - Google Patents
Method for evaluating the longitudinal deformation of proppant pack Download PDFInfo
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- US10823646B1 US10823646B1 US16/805,662 US202016805662A US10823646B1 US 10823646 B1 US10823646 B1 US 10823646B1 US 202016805662 A US202016805662 A US 202016805662A US 10823646 B1 US10823646 B1 US 10823646B1
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- 238000000034 method Methods 0.000 title claims abstract description 16
- 229910000831 Steel Inorganic materials 0.000 claims abstract description 32
- 239000010959 steel Substances 0.000 claims abstract description 32
- 238000012360 testing method Methods 0.000 claims abstract description 13
- 238000006073 displacement reaction Methods 0.000 claims abstract description 12
- 239000002245 particle Substances 0.000 claims description 44
- 238000003825 pressing Methods 0.000 claims description 19
- 238000004364 calculation method Methods 0.000 claims description 12
- 238000002474 experimental method Methods 0.000 claims description 12
- 230000008859 change Effects 0.000 claims description 7
- 238000011156 evaluation Methods 0.000 abstract description 3
- VYPSYNLAJGMNEJ-UHFFFAOYSA-N Silicium dioxide Chemical compound O=[Si]=O VYPSYNLAJGMNEJ-UHFFFAOYSA-N 0.000 description 13
- 239000006004 Quartz sand Substances 0.000 description 8
- 239000000203 mixture Substances 0.000 description 6
- 238000011160 research Methods 0.000 description 4
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- 230000003247 decreasing effect Effects 0.000 description 2
- 238000005755 formation reaction Methods 0.000 description 2
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- 230000005012 migration Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
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- 230000009471 action Effects 0.000 description 1
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Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N1/00—Sampling; Preparing specimens for investigation
- G01N1/28—Preparing specimens for investigation including physical details of (bio-)chemical methods covered elsewhere, e.g. G01N33/50, C12Q
- G01N1/286—Preparing specimens for investigation including physical details of (bio-)chemical methods covered elsewhere, e.g. G01N33/50, C12Q involving mechanical work, e.g. chopping, disintegrating, compacting, homogenising
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/32—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring the deformation in a solid
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume or surface-area of porous materials
- G01N15/02—Investigating particle size or size distribution
- G01N15/0272—Investigating particle size or size distribution with screening; with classification by filtering
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
- G01N3/10—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces generated by pneumatic or hydraulic pressure
- G01N3/12—Pressure testing
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/62—Manufacturing, calibrating, or repairing devices used in investigations covered by the preceding subgroups
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0001—Type of application of the stress
- G01N2203/0003—Steady
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0014—Type of force applied
- G01N2203/0016—Tensile or compressive
- G01N2203/0019—Compressive
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/003—Generation of the force
- G01N2203/0042—Pneumatic or hydraulic means
- G01N2203/0048—Hydraulic means
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0058—Kind of property studied
- G01N2203/006—Crack, flaws, fracture or rupture
- G01N2203/0067—Fracture or rupture
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0058—Kind of property studied
- G01N2203/0069—Fatigue, creep, strain-stress relations or elastic constants
- G01N2203/0075—Strain-stress relations or elastic constants
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/0058—Kind of property studied
- G01N2203/0076—Hardness, compressibility or resistance to crushing
- G01N2203/0087—Resistance to crushing
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N2203/02—Details not specific for a particular testing method
- G01N2203/06—Indicating or recording means; Sensing means
- G01N2203/0617—Electrical or magnetic indicating, recording or sensing means
Definitions
- the present invention relates to the technical field of oil and gas development, in particular to a method for evaluating the longitudinal deformation of proppant pack.
- the propped fracture is affected by the closure pressure.
- the fracture conductivity will be reduced by geometric shrinkage of proppant particle, reduction of space in the proppant, proppant crushing and fines migration.
- the conductivity is the key factor to evaluate the flow capacity of the channel.
- the fracture width is the main parameter to calculate the conductivity.
- the ideal proppant must resist deformation and embedment to maintain fracture width and conductivity. However, in practice, it is impossible to achieve this even if proper proppant is selected. At present, most of the studies on proppant pack are based on the influence of proppant embedment on fracture conductivity, while few experiments consider the deformation rules of proppant pack alone.
- the present invention will analyze the deformation characteristics of proppant pack and main controlling factors by experimental research on the deformation of proppant pack, and provide a basis for the prediction of fracture conductivity.
- the purpose of the present invention is to provide a method for evaluating the longitudinal deformation of proppant pack in view of the current absence of experimental research in the prior art that independently focuses on the deformation rules of proppant pack.
- the method for evaluating the longitudinal deformation of proppant pack disclosed in the present invention comprises the following steps:
- E ⁇ ⁇
- E Young's modulus
- ⁇ stress to the proppant pack
- ⁇ strain of the proppant pack
- m p refers to mass of crushed proppant, in g
- m c refers to total mass of proppant, in g
- the mass m p of the crushed proppant is equal to the sum of the difference of the mass of all large particles in the proppant before and after pressing.
- Step 1 of the method change the total mass m c of the weighed proppant, and conduct the following Steps 2 to 9 to study the longitudinal deformation rule of proppant pack under different proppant concentrations.
- the present invention has the following beneficial effects:
- the present invention provides a method for evaluating the longitudinal deformation of the proppant pack, and finds that the relationship between the thickness of the proppant pack and the pressure tends to be linear. Therefore, the Young's modulus is adopted to characterize the proppant pack and calculate specific values. This method makes up for the lack of research and evaluation methods for proppant deformation in the prior art.
- the steel sheet is used in the evaluation method.
- the steel sheet can be regarded as a rock plate with higher strength and hardness. It will be still embedded under the action of higher closure pressure, but the degree of embedment will be reduced, reducing the impact of embedment on the deformation of proppant pack.
- the main instrument used is the existing fracture conductivity tester, which is easy to operate.
- FIG. 1 Schematic Diagram of Proppant Displacement and Experimental Equipment.
- FIG. 2 Curve of Relationship between the Thickness of 20/40-mesh Ceramsite Proppant Pack and the Pressure before Equipment Calibration.
- FIG. 3 Curve of Relationship between the Thickness of 20/40-mesh Ceramsite Proppant Pack and the Pressure after Experimental Equipment Calibration.
- FIG. 4 Curve of Relationship between the Thickness of 30/50-mesh Ceramsite Proppant Pack and the Pressure after Experimental Equipment Calibration.
- FIG. 5 Curve of Relationship between the Thickness of 40/70-mesh Ceramsite Proppant Pack and the Pressure after Experimental Equipment Calibration.
- FIG. 6 Curve of Relationship between the Thickness of 1:1 Mixture of 20/40-mesh and 30/50-mesh Ceramsite Proppant Pack and the Pressure after Experimental Equipment Calibration.
- FIG. 7 Curve of Relationship between the Thickness of 1.5:1 Mixture of 20/40-mesh and 30/50-mesh Ceramsite Proppant Pack and the Pressure after Experimental Equipment Calibration.
- FIG. 8 Curve of Relationship between the Thickness of Quartz Sand and the Pressure after Experimental Equipment Calibration.
- FIG. 9 Comparison of Particle Size Distribution of 20/40-mesh Ceramsite Proppant before and after Pressing.
- FIG. 10 Comparison of Particle Size Distribution of 30/50-mesh Ceramsite Proppant before and after Pressing.
- FIG. 11 Comparison of Particle Size Distribution of 40/70-mesh Ceramsite Proppant before and after Pressing.
- FIG. 12 Comparison of Particle Size Distribution of 1:1 Mixture of 20/40-mesh and 30/50-mesh Ceramsite Proppants before and after Pressing.
- FIG. 13 Comparison of Particle Size Distribution of 1.5:1 Mixture of 20/40-mesh and 30/50-mesh Ceramsite Proppants before and after Pressing.
- FIG. 14 Comparison of Particle Size Distribution of Quartz Sand with a Proppant Concentration of 3 kg/m2 before and after Pressing.
- Ceramic particle and quartz sand are widely used as proppant because of their good sphericity, high strength and low cost. Therefore, representative ceramsite and quartz sand are selected for experiments.
- the purpose of using the steel sheet in the experiment is not to consider the influence of the deformation of the steel sheet; however, in practice the steel sheet still has a large deformation after be pressed, and other experimental equipment has different degrees of deformation. Since the deformation of the equipment has a great influence and the actual pack thickness cannot be calculated accurately by the existing data, calibration experiment is required.
- 20/40-mesh ceramsite is taken as an example.
- equipment deformation was not considered in the calibration, and only the thickness of the steel sheet after compaction is subtracted.
- the fracture width after the final correction is negative when the proppant concentration is small and the pressure is large, as shown in FIG. 2 , which is obviously not in line with the actual situation. Therefore, it is necessary to test the deformation of equipment other than proppant.
- the purpose of placing steel sheets on and under the proppant pack is not to consider the proppant embedment, but in practice the proppant will embed into the steel sheet, which is one of the reasons for the calculation error.
- the rubber gasket in the equipment to be installed will be slightly higher than the equipment after it is installed, and is deformed slightly under lower pressure, but still higher than the equipment, and when the pressure is increased to 69 MPa, the rubber gasket will be deformed greatly, leading to calculation error.
- the equipment deformation under high pressure is not considered. In conclusion, the calculation results are not accurate.
- the proppant particle is embedded in the steel sheet slightly, and it cannot be seen clearly by the naked eye, so the proppant embedmenterror is not considered in the study of proppant pack deformation in this experiment.
- the equipment is calibrated, the proppant deformation experiment is repeated without ceramsite added between two steel sheets, the pressure is also increased to 69 MPa with an increment of 6.9 MPa/time, and the reading of the displacement meter is recorded after the pressure is increased each time and the meter reading is stable.
- Table 1 for the test data of experimental equipment deformation with pressure.
- the actual deformation of proppant pack is obtained by subtracting the experimental equipment deformation from the total deformation of the experimental equipment and the proppant obtained in Step 5.
- FIG. 3 the change rule of the fracture width with different proppant concentrations of 20/40-mesh ceramsite proppant is shown in FIG. 3
- FIG. 4 the relationship between the thickness of 30/50-mesh ceramsite proppant and the pressure is shown in FIG. 4
- FIG. 5 the relationship between the thickness of 40/70-mesh ceramsite proppant and the pressure is shown in FIG. 5 .
- quartz sand is also one of the common proppants, so quartz sand is also selected for experiments. The results are shown in FIG. 8 below.
- the pack thickness with a proppant concentration of 3 kg/m 2 may decrease when the pressure increases, indicating that the deformation of equipment without proppant is less than the total deformation of proppant and equipment under the same pressure, which is obviously inconsistent with objective experience.
- the main factor may be that the pressure control is not accurate during manual pressing.
- the proppant pack is displaced unevenly or the proppant of different sizes is distributed in different ways in the sand, and the proppant pack may be compacted to different levels when the equipment is installed. All of the above factors will affect the calculation of pack thickness, causing errors in the calculation results.
- the Young's modulus can be calculated according to its strain and closure pressure. Considering the proppant pack as a whole, the final deformation and strain are calculated according to the corrected data, and the Young's modulus is calculated based on the known stress. Therefore, the Young's modulus of the proppant pack is calculated according to the stress and strain at 69 MPa, as shown in Table 3.
- the particle size of the proppant should be screened with electric sieve shaker and 20-mesh, 30-mesh, 40-mesh, 50-mesh, 70-mesh and 100-mesh screens before and after the deformation experiment. Take the ceramsite proppants with concentration of 3 kg/m 2 as an example.
- the comparison of the particle size distribution before and after pressing is shown in FIGS. 9 to 13 .
- FIG. 9 shows the Comparison of 20/40-mesh Particle Size Distribution.
- FIG. 10 shows the Comparison of 30/50-mesh Particle Size Distribution.
- FIG. 11 shows the Comparison of 40/70-mesh Particle Size Distribution.
- FIG. 9 shows the Comparison of 20/40-mesh Particle Size Distribution.
- FIG. 10 shows the Comparison of 30/50-mesh Particle Size Distribution.
- FIG. 11 shows the Comparison of 40/70-mesh Particle Size Distribution.
- FIG. 12 shows the Comparison of Particle Size Distribution of 1:1 Mixture of 20/40-mesh and 30/50-mesh Ceramsite Proppants.
- FIG. 13 shows the Comparison of Particle Size Distribution of 1.5:1 Mixture of 20/40-mesh and 30/50-mesh Ceramsite Proppants.
- FIG. 14 shows the Comparison of Particle Size Distribution of Quartz Sand with a Proppant Concentration of 3 kg/m 2 before and after Pressing.
- the calculation of the crushing ratio is mainly based on the SY/T5108-2006 standard.
- ⁇ m p m c ⁇ 100 ⁇ %
- ⁇ refers to proppant crushing ratio
- the mass of crushed sample in the experiment is calculated by the sum of the difference between the mass of larger particles before and after pressing.
- the crushing ratio of ceramsite at 69 MPa is calculated based on experimental data, as shown in Table 4.
- the crushing ratio of the proppant with particle size from 20/40 meshes to 40/70 meshes is gradually increased at the same proppant concentration, and it can be concluded that the crushing ratio of the proppant with smaller particle size is lower.
- the crushing ratio of the same proppant is gradually reduced with the increase of proppant concentration from 3 kg/m 2 to 7 kg/m 2 , but it is increased when the proppant concentration is 10 kg/m 2 . Therefore, it is estimated that there is a proppant concentration with the lowest crushing ratio among the range from 7 kg/m 2 to 10 kg/m 2 , and the crushing ratio may be increased if the proppant concentration is higher or lower than the range. Or there are errors in the experimental data, and the crushing ratio is decreased with the increase of proppant concentration.
- Table 5 shows the crushing ratio of mixed ceramsite proppants.
- the crushing ratio of the mixed ceramsite proppants is decreased with the increase of proppant concentration.
- the crushing ratio is higher when the mixing ratio of 20/40 meshes to 30/50 meshes is 1.5:1.
- the amount of larger particles accounts for a higher proportion when the ratio is 1.5:1, so the proppant with a larger particle size may lead to an increase in the crushing ratio.
- the crushing ratio of quartz sand is lower when the proppant concentration is higher, and the proportion mass of crushed quartz sand is much higher than that of ceramsite when the proppant concentration is the same.
- the crushed residue will block fluid migration, reduce fracture permeability, and reduce fracture conductivity, so quartz sand is not suitable for fracture propping in deeper formations.
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CN117266821A (zh) * | 2023-09-20 | 2023-12-22 | 东北石油大学 | 油气储层条件下支撑剂破碎率实时测定方法 |
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CN110905497B (zh) * | 2019-12-11 | 2022-10-28 | 东北石油大学 | 一种页岩网状裂缝长期导流能力测定装置 |
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